Universal stabilisation design for general non-linear systems under wave partial differential equation actuator dynamics with time-varying moving boundary

被引：9

作者：

Cai, Xiushan ^{[1
]}

Lin, Yuhang ^{[1
]}

Zhang, Junfeng ^{[2
]}

机构：

[1] Zhejiang Normal Univ, Coll Math Phys & Informat Engn, Jinhua 321004, Peoples R China

[2] Hangzhou Dianzi Univ, Inst Informat & Control, Hangzhou 310018, Zhejiang, Peoples R China

来源：

IET CONTROL THEORY AND APPLICATIONS | 2016年 / 10卷 / 03期

基金：

中国国家自然科学基金;

关键词：

nonlinear control systems; control system synthesis; asymptotic stability; partial differential equations; time-varying systems; actuators; control nonlinearities; universal stabilisation design; general nonlinear system; wave partial differential equation actuator dynamics; control law design; infinite dimensional backstepping transformation; passivity-based synthesis approach; wave actuator dynamics; asymptotical stabilisation; time-varying moving boundary; KRASOVSKII METHODOLOGY; FEEDBACK STABILIZATION; ROBUST STABILIZATION; INCLUSION SYSTEMS; DELAY; COMPENSATION; STABILITY; SUBJECT; FLOW; ISS;

D O I：

10.1049/iet-cta.2015.0652

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

A universal stabilisation formula is presented for globally (or locally) asymptotical stabilisation for general non-linear systems governed by wave actuator dynamics with time-varying moving boundary in this study. Stability analysis is developed with passivity-based synthesis approach and infinite-dimensional backstepping transformations. Under the backstepping transformations and the control law design, the original system is transferred to the target system. Then the authors prove that the target system is asymptotical stable. Moreover, it is shown that the stability of the original system is equivalent to that of the target system. Finally, three examples are given to illustrate the effectiveness of the proposed design technique.

引用

页码：253 / 264

页数：12

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